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Finding the Third Proportional to 73,138 and 109,228

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Solution

The third proportional to 73,138 and 109,228 is: 163,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138 : 109,228 = 109,228 : x
  2. Step 2: Convert to fraction form
    73,138/109,228 = 109,228/x
  3. Step 3: Cross multiply
    73,138x = 109,228 × 109,228
  4. Step 4: Simplify right side
    73,138x = 11,930,755,984
  5. Step 5: Solve for x
    x = 11,930,755,984/73,138
  6. Step 6: Final answer
    x = 163,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.